Expressions of the energy-release rates are established on the basis o
f the rotationally invariant (finite-strain) quasi-magnetostatic theor
y of elastic paramagnets and soft ferromagnets for which neither magne
tic ordering nor spin effects need to be introduced. The corresponding
path-independent integrals useful in fracture studies are constructed
and this is shown to yield essentially the same results as the canoni
cal field-theoretic approach using the notions of Eshelby stress and m
aterial forces. A simple application to the antiplane crack problem of
a magnetostrictive body in an axial bias magnetic field illustrates t
he use of the obtained expressions. The same notions could be used to
study the so-called magneto-plastic effect. Copyright (C) 1996 Elsevie
r Science Ltd.